000 04933cam a2200469 i 4500
001 on1031373802
003 OCoLC
005 20250612155459.0
006 m o d
007 cr cnu|||unuuu
008 180416s2018 enk o 001 0 eng d
040 _aN$T
_beng
_erda
_epn
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_dN$T
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020 _a9780128135563
_q(electronic bk.)
020 _a0128135565
_q(electronic bk.)
020 _z9780128135556
035 _a(OCoLC)1031373802
050 4 _aQC802.A1
072 7 _aSCI
_x030000
_2bisacsh
072 7 _aSCI
_x031000
_2bisacsh
082 0 4 _a551
_223
100 1 _aMenke, William,
_eauthor.
_926201
245 1 0 _aGeophysical data analysis :
_bdiscrete inverse theory /
_cWilliam Menke.
250 _aFourth edition.
264 1 _aLondon, United Kingdom :
_bElsevier Ltd. :
_bAcademic Press,
_c[2018]
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aIncludes index.
588 _aOnline resource; title from PDF title page (EBSCO, viewed April 17, 2018).
505 0 _aIntro; Title page; Table of Contents; Copyright; Preface; Introduction; I.1 Forward and Inverse Theories; I.2 MATLAB as a Tool for Learning Inverse Theory; I.3 A Very Quick MATLAB Tutorial; I.4 Review of Vectors and Matrices and Their Representation in MATLAB; I.5 Useful MatLab Operations; Chapter 1: Describing Inverse Problems; Abstract; 1.1 Formulating Inverse Problems; 1.2 The Linear Inverse Problem; 1.3 Examples of Formulating Inverse Problems; 1.4 Solutions to Inverse Problems; 1.5 Problems; Chapter 2: Some Comments on Probability Theory; Abstract; 2.1 Noise and Random Variables
505 8 _a2.2 Correlated Data2.3 Functions of Random Variables; 2.4 Gaussian Probability Density Functions; 2.5 Testing the Assumption of Gaussian Statistics; 2.6 Conditional Probability Density Functions; 2.7 Confidence Intervals; 2.8 Computing Realizations of Random Variables; 2.9 Problems; Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method; Abstract; 3.1 The Lengths of Estimates; 3.2 Measures of Length; 3.3 Least Squares for a Straight Line; 3.4 The Least Squares Solution of the Linear Inverse Problem; 3.5 Some Examples
505 8 _a3.6 The Existence of the Least Squares Solution3.7 The Purely Underdetermined Problem; 3.8 Mixed-Determined Problems; 3.9 Weighted Measures of Length as a Type of Prior Information; 3.10 Other Types of Prior Information; 3.11 The Variance of the Model Parameter Estimates; 3.12 Variance and Prediction Error of the Least Squares Solution; 3.13 Problems; Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses; Abstract; 4.1 Solutions Versus Operators; 4.2 The Data Resolution Matrix; 4.3 The Model Resolution Matrix; 4.4 The Unit Covariance Matrix
505 8 _a4.5 Resolution and Covariance of Some Generalized Inverses4.6 Measures of Goodness of Resolution and Covariance; 4.7 Generalized Inverses With Good Resolution and Covariance; 4.8 Sidelobes and the Backus-Gilbert Spread Function; 4.9 The Backus-Gilbert Generalized Inverse for the Underdetermined Problem; 4.10 Including the Covariance Size; 4.11 The Trade-Off of Resolution and Variance; 4.12 Checkerboard Tests; 4.13 Problems; Chapter 5: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods; Abstract; 5.1 The Mean of a Group of Measurements
505 8 _a5.2 Maximum Likelihood Applied to Inverse Problem5.3 Model Resolution in the Presence of Prior Information; 5.4 Relative Entropy as a Guiding Principle; 5.5 Equivalence of the Three Viewpoints; 5.6 Chi-Square Test for the Compatibility of the Prior and Posterior Error; 5.7 The F-test of the Error Improvement Significance; 5.8 Problems; Chapter 6: Nonuniqueness and Localized Averages; Abstract; 6.1 Null Vectors and Nonuniqueness; 6.2 Null Vectors of a Simple Inverse Problem; 6.3 Localized Averages of Model Parameters; 6.4 Relationship to the Resolution Matrix; 6.5 Averages Versus Estimates
520 8 _aAnnotation
_bThis fourth edition maintains the accessible and succinct manner for which the original book is known. It also features the addition of MATLAB examples and problem sets, advanced colour graphics, and much more.
650 0 _aGeophysics
_xMeasurement.
_934129
650 0 _aOceanography
_xMeasurement.
_934130
650 0 _aInverse problems (Differential equations)
_xNumerical solutions.
_934131
758 _ihas work:
_aGeophysical data analysis (Text)
_1https://id.oclc.org/worldcat/entity/E39PCGjqdDmj6MFDCkh9MQfykC
_4https://id.oclc.org/worldcat/ontology/hasWork
856 4 0 _3ScienceDirect
_uhttps://www.sciencedirect.com/science/book/9780128135556
999 _c216455
_d216455